Practice Concept Of Two Degree Of Freedom System (12.1)

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6 sample questions

Question 1.
Define a Two Degree of Freedom system.
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Think about how many variables are needed.
Question 2.
What is a common example of a 2-DOF system?
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Consider structures with multiple levels.
3Question 3.
What does a 2-DOF system require for motion description?
- One coordinate
- Two coordinates
- Three coordinates
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Recall how many factors influence the motion.
4Question 4.
True or False: A two-story building is an example of a 2-DOF system.
- True
- False
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Think about how buildings respond to forces.
Question 5.
Given a 2-DOF system defined by masses m1 = 1500kg, m2 = 2000kg, and stiffness k1 = 30000N/m, k2 = 25000N/m, k12 = 5000N/m. Derive the equations of motion.
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Recall how to express dynamics through mass and stiffness matrices.
Question 6.
A 2-DOF system has two natural frequencies of 5Hz and 7Hz. What will be the effect on resonance if the system is excited near these frequencies?
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Think about how objects resonate and the importance of matching frequencies.

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